## Acid-Base Analysis ### Step 1: Identify the Primary Disorder The patient has: - **pH 7.28** (acidemia) - **HCO₃⁻ 14 mEq/L** (LOW — primary metabolic component) - **PaCO₂ 32 mmHg** (LOW — respiratory compensation) The low pH with low HCO₃⁻ confirms **primary metabolic acidosis**. ### Step 2: Assess Respiratory Compensation Using Winter's Formula $$\text{Expected PaCO₂} = 1.5 \times [\text{HCO}_3^-] + 8 \pm 2$$ $$= 1.5 \times 14 + 8 \pm 2 = 21 + 8 \pm 2 = \mathbf{29 \pm 2 \text{ mmHg}}$$ $$\text{Expected range: 27–31 mmHg}$$ The **actual PaCO₂ is 32 mmHg**, which falls **within the expected range of 27–31 mmHg** (32 is at the upper boundary, within ±2 of 29). ### Step 3: Interpretation **Key Point:** When the actual PaCO₂ falls within the range predicted by Winter's formula, the respiratory compensation is **appropriate**. This represents **pure (simple) metabolic acidosis with appropriate respiratory compensation** — NOT a mixed disorder. This patient has **metabolic acidosis with appropriate respiratory compensation** (Option D). ### Why Not Mixed Acidosis? The original explanation incorrectly stated that PaCO₂ = 32 mmHg is "higher than expected (27–31 mmHg)." However, Winter's formula gives an expected range of **27–31 mmHg**, and 32 mmHg is within ±2 of the midpoint (29 mmHg), placing it at the upper boundary of the acceptable range. This does **not** constitute a superimposed respiratory acidosis. **Clinical Pearl:** Although this patient has pulmonary edema (which could theoretically impair ventilation), the ABG data show that the respiratory system IS compensating appropriately. The tachypnea (RR 28/min) is the clinical correlate of this compensation. A true mixed metabolic + respiratory acidosis would require PaCO₂ > 31 mmHg clearly outside the Winter's formula range. ### Anion Gap Calculation $$\text{AG} = \text{Na}^+ - (\text{Cl}^- + \text{HCO}_3^-) = 138 - (104 + 14) = \mathbf{20 \text{ mEq/L}}$$ Elevated anion gap (>12) confirms **high anion gap metabolic acidosis**, consistent with uremic acidosis from CKD (retention of sulfates, phosphates, and organic acids). ### Summary Table | Parameter | Value | Interpretation | |-----------|-------|----------------| | pH | 7.28 | Acidemia | | HCO₃⁻ | 14 mEq/L | Primary metabolic acidosis | | PaCO₂ (actual) | 32 mmHg | Respiratory compensation | | PaCO₂ (expected) | 27–31 mmHg | Appropriate compensation | | Anion Gap | 20 mEq/L | High AG metabolic acidosis | **High-Yield (Harrison's Principles of Internal Medicine):** Winter's formula is the standard tool to assess respiratory compensation in metabolic acidosis. If actual PaCO₂ is within the predicted range → appropriate compensation (simple metabolic acidosis). If actual PaCO₂ > predicted → superimposed respiratory acidosis. If actual PaCO₂ < predicted → superimposed respiratory alkalosis.
Sign up free to access AI-powered MCQ practice with detailed explanations and adaptive learning.